State whether the following statement are true or false. Justify your answer.
A circle has its centre at the origin and a point P (5, 0) lies on it. The point (6, 8) lies outside the circle.
State whether the following statement are true or false. Justify your answer.
Points A (4, 3), B (6, 4), C (5, –6) and D (–3, 5) are the vertices of a parallelogram.
State whether the following statement are true or false. Justify your answer.
Points A (3, 1), B (12, –2) and C (0, 2) cannot be the vertices of a triangle.
State whether the following statement are true or false. Justify your answer.
Point P (0, 2) is the point of intersection of y–axis and perpendicular bisector of line segment joining the points A (–1, 1) and B (3, 3).
State whether the following statement are true or false. Justify your answer.
The points (0, 5), (0, –9) and (3, 6) are collinear.
State whether the following statement are true or false. Justify your answer.
Point P (– 4, 2) lies on the line segment joining the points A (– 4, 6) and B (– 4, – 6).
State whether the following statement are true or false. Justify your answer.
∆ ABC with vertices A (–2, 0), B (2, 0) and C (0, 2) is similar to ∆ DEF with vertices D (–4, 0) E (4, 0) and F (0, 4).
Point P (0, –7) is the point of intersection of y-axis and perpendicular bisector of line segment joining the points A (–1, 0) and B (7, –6).